Edit Profile (opens in new tab) Liu, Hongyu Compute Distance To: Compute Author ID: liu.hongyu Published as: Liu, Hongyu Homepage: http://www.math.hkbu.edu.hk/~hongyuliu/ External Links: ORCID · GND Documents Indexed: 164 Publications since 2001 1 Further Contribution Reviewing Activity: 7 Reviews Co-Authors: 83 Co-Authors with 136 Joint Publications 3,222 Co-Co-Authors all top 5 Co-Authors 6 single-authored 35 Li, Jingzhi 20 Zou, Jun 19 Deng, Youjun 12 Wang, Xianchao 11 Diao, Huaian 11 Li, Hongjie 11 Sun, Hongpeng 8 Guo, Yukun 7 Sun, Geng 7 Uhlmann, Gunther Alberto 7 Wang, Yuliang 6 Cao, Xinlin 6 Hu, Guanghui 6 Xiao, Jingni 6 Zhang, Kai 5 Blåsten, Emilia L. K. 5 Wang, Qi 5 Yang, Rong-Can 4 Liu, Xiaodong 4 Shang, Zaijiu 4 Yin, Weishi 4 Zhang, Deyue 3 Ammari, Habib M. 3 Chen, Xiang 3 Chow, Yat Tin 3 Hong, Jialin 3 Li, Jinhong 3 Lin, Xiu 3 Lin, Yi-Hsuan 3 Ma, Shiqi 3 Meng, Pinchao 3 Rondi, Luca 3 Tsou, Chun-Hsiang 3 Tsui, Wing-Yan 3 Ye, Li-Xiang 3 Zheng, Guanghui 3 Zhou, Ting 2 Bai, Zhengjian 2 Bao, Gang 2 Blåsten, Eemeli 2 Fang, Xiaoping 2 He, Juan 2 Kang, Hyeonbae 2 Li, Xiaofei 2 Meng, Qingle 2 Wang, Li 2 Yamamoto, Masahiro 2 Yang, Wei 2 Yen, Rainfield Yutian 2 Yin, Yunwen 1 Ando, Kazunori 1 Borcea, Liliana 1 Chan, Robert Peng Kong 1 Chen, Bochao 1 Cheng, Wei-Chung 1 Ci, Yuyao 1 Ding, Minghui 1 Ding, Xiaohua 1 Duan, Chaohua 1 Gan, Siqing 1 Gao, Yixian 1 Gao, Yu 1 Garnier, Josselin 1 Harrach, Bastian 1 He, Bin 1 He, Youzi 1 Hetmaniuk, Ulrich L. 1 Hömberg, Dietmar 1 Ji, Xia 1 Jiang, Shanshan 1 Jiang, Yan 1 Jin, Jing-Wen 1 Kocyigit, Ilker 1 Kou, S. Q. 1 Lai, Junjiang 1 Li, Che-Wei 1 Li, Chun 1 Li, Jinghong 1 Li, Peijun 1 Li, Yun-Bao 1 Lindqvist, P.-A. 1 Liu, Jianyu 1 Liu, Xinbo 1 Liu, Xu 1 Liu, Yubin 1 Lu, Jianduo 1 Mao, Shipeng 1 Ming, Ying 1 Petrini, Michele 1 Si, Na 1 Song, Haiming 1 Song, Minghui 1 Sun, Baiyi 1 Sun, Fenglin 1 Sun, Yuanchang 1 Tang, Lan 1 Wahab, Abdul Fatah 1 Wang, Chao 1 Wang, Hao 1 Wang, Jiangwen ...and 21 more Co-Authors all top 5 Serials 22 Inverse Problems 10 SIAM Journal on Applied Mathematics 9 Journal of Differential Equations 8 Inverse Problems and Imaging 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 SIAM Journal on Mathematical Analysis 6 Journal of Computational Physics 5 Quantum Information Processing 4 IMA Journal of Applied Mathematics 4 Communications in Computational Physics 4 SIAM Journal on Imaging Sciences 3 Archive for Rational Mechanics and Analysis 3 Journal of Computational and Applied Mathematics 3 Northeastern Mathematical Journal 3 Calculus of Variations and Partial Differential Equations 2 Communications in Mathematical Physics 2 Journal of Mathematical Physics 2 Applied Mathematics and Computation 2 Journal of Functional Analysis 2 Communications in Partial Differential Equations 2 Journal of Elasticity 2 SIAM Journal on Scientific Computing 2 Journal of Inverse and Ill-Posed Problems 2 Discrete and Continuous Dynamical Systems 2 Multiscale Modeling & Simulation 2 Communications in Mathematical Sciences 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Numerical Mathematics: Theory, Methods and Applications 1 Modern Physics Letters B 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 IMA Journal of Numerical Analysis 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 International Journal for Numerical Methods in Fluids 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Indiana University Mathematics Journal 1 Mathematische Zeitschrift 1 Studies in Applied Mathematics 1 Mathematica Numerica Sinica 1 Journal of Computational Mathematics 1 European Journal of Applied Mathematics 1 Signal Processing 1 IEEE Transactions on Signal Processing 1 International Journal of Computer Mathematics 1 Journal of Dynamics and Differential Equations 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Journal of the European Mathematical Society (JEMS) 1 Computational Geosciences 1 Acta Analysis Functionalis Applicata. AAFA 1 Discrete and Continuous Dynamical Systems. Series B 1 Panoramas et Synthèses 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis & PDE 1 Advances in Applied Mathematics and Mechanics 1 Science China. Mathematics 1 Journal of Spectral Theory 1 East Asian Journal on Applied Mathematics 1 Research in the Mathematical Sciences 1 Annals of Applied Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Mathematics in Engineering 1 Electronic Research Archive 1 SN Partial Differential Equations and Applications all top 5 Fields 132 Partial differential equations (35-XX) 75 Optics, electromagnetic theory (78-XX) 37 Numerical analysis (65-XX) 29 Mechanics of deformable solids (74-XX) 24 Fluid mechanics (76-XX) 11 Potential theory (31-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Quantum theory (81-XX) 5 Operator theory (47-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Geophysics (86-XX) 4 Statistics (62-XX) 3 Ordinary differential equations (34-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Computer science (68-XX) 3 Information and communication theory, circuits (94-XX) 2 Integral equations (45-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 145 Publications have been cited 1,532 times in 486 Documents Cited by ▼ Year ▼ Uniqueness in an inverse acoustic obstacle scattering problem for both sound-hard and sound-soft polyhedral scatterers. Zbl 1094.35142Liu, Hongyu; Zou, Jun 53 2006 Strengthened linear sampling method with a reference ball. Zbl 1205.35339Li, Jingzhi; Liu, Hongyu; Zou, Jun 41 2009 Plasmon resonance with finite frequencies: a validation of the quasi-static approximation for diametrically small inclusions. Zbl 1351.35205Ando, Kazunori; Kang, Hyeonbae; Liu, Hongyu 40 2016 Locating multiple multiscale acoustic scatterers. Zbl 1328.35135Li, Jingzhi; Liu, Hongyu; Zou, Jun 38 2014 Virtual reshaping and invisibility in obstacle scattering. Zbl 1169.35392Liu, Hongyu 35 2009 Determining both sound speed and internal source in thermo- and photo-acoustic tomography. Zbl 1328.35316Liu, Hongyu; Uhlmann, Gunther 32 2015 Nearly cloaking the full Maxwell equations: cloaking active contents with general conducting layers. Zbl 1298.35213Bao, Gang; Liu, Hongyu; Zou, Jun 29 2014 Two single-shot methods for locating multiple electromagnetic scatterers. Zbl 1323.78012Li, Jingzhi; Liu, Hongyu; Shang, Zaijiu; Sun, Hongpeng 29 2013 Fourier method for recovering acoustic sources from multi-frequency far-field data. Zbl 1401.35352Wang, Xianchao; Guo, Yukun; Zhang, Deyue; Liu, Hongyu 29 2017 Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators. Zbl 1407.35225Cao, Xinlin; Lin, Yi-Hsuan; Liu, Hongyu 29 2019 Multilevel linear sampling method for inverse scattering problems. Zbl 1167.78007Li, Jingzhi; Liu, Hongyu; Zou, Jun 28 2008 Mosco convergence for \(H(\text{curl})\) spaces, higher integrability for Maxwell’s equations, and stability in direct and inverse EM scattering problems. Zbl 1502.78020Liu, Hongyu; Rondi, Luca; Xiao, Jingni 27 2019 Reflection principle for the Maxwell equations and its application to inverse electromagnetic scattering. Zbl 1126.35073Liu, Hongyu; Yamamoto, Masahiro; Zou, Jun 27 2007 On vanishing near corners of transmission eigenfunctions. Zbl 1387.35437Blåsten, Eemeli; Liu, Hongyu 27 2017 Retrieval of acoustic sources from multi-frequency phaseless data. Zbl 1442.65336Zhang, Deyue; Guo, Yukun; Li, Jingzhi; Liu, Hongyu 26 2018 Stable determination of sound-hard polyhedral scatterers by a minimal number of scattering measurements. Zbl 1352.74148Liu, Hongyu; Petrini, Michele; Rondi, Luca; Xiao, Jingni 25 2017 The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs. Zbl 1084.65127Hong, Jialin; Liu, Hongyu; Sun, Geng 25 2006 On unique determination of partially coated polyhedral scatterers with far field measurements. Zbl 1111.78009Liu, Hongyu; Zou, Jun 24 2007 Recovering an electromagnetic obstacle by a few phaseless backscattering measurements. Zbl 1432.78008Li, Jingzhi; Liu, Hongyu; Wang, Yuliang 24 2017 Recovering a polyhedral obstacle by a few backscattering measurements. Zbl 1330.78013Li, Jingzhi; Liu, Hongyu 24 2015 On vanishing and localizing of transmission eigenfunctions near singular points: a numerical study. Zbl 1442.65332Blåsten, Eemeli; Li, Xiaofei; Liu, Hongyu; Wang, Yuliang 24 2017 Recovering multiscale buried anomalies in a two-layered medium. Zbl 1330.78012Li, Jingzhi; Li, Peijun; Liu, Hongyu; Liu, Xiaodong 23 2015 On quasi-static cloaking due to anomalous localized resonance in \(\mathbb{R}^3\). Zbl 1322.35176Li, Hongjie; Li, Jingzhi; Liu, Hongyu 22 2015 Enhanced multilevel linear sampling methods for inverse scattering problems. Zbl 1349.76624Li, Jingzhi; Liu, Hongyu; Wang, Qi 22 2014 Recovering piecewise constant refractive indices by a single far-field pattern. Zbl 1446.35262Blåsten, Emilia; Liu, Hongyu 21 2020 Enhanced near-cloak by FSH lining. Zbl 1259.35223Liu, Hongyu; Sun, Hongpeng 21 2013 Scattering by curvatures, radiationless sources, transmission eigenfunctions, and inverse scattering problems. Zbl 1479.35838Blåsten, Emilia L. K.; Liu, Hongyu 20 2021 Zeros of the Bessel and spherical Bessel functions and their applications for uniqueness in inverse acoustic obstacle scattering. Zbl 1138.35072Liu, Hongyu; Zou, Jun 19 2007 On anomalous localized resonance and plasmonic cloaking beyond the quasi-static limit. Zbl 1407.35228Li, Hongjie; Liu, Hongyu 19 2018 On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications. Zbl 1475.35328Diao, Huaian; Cao, Xinlin; Liu, Hongyu 18 2021 Full and partial cloaking in electromagnetic scattering. Zbl 1359.35185Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther 18 2017 A global uniqueness for formally determined inverse electromagnetic obstacle scattering. Zbl 1144.78314Liu, Hongyu 18 2008 Surface-localized transmission eigenstates, super-resolution imaging, and pseudo surface plasmon modes. Zbl 1478.35159Chow, Yat Tin; Deng, Youjun; He, Youzi; Liu, Hongyu; Wang, Xianchao 17 2021 Determining a random Schrödinger equation with unknown source and potential. Zbl 1419.35185Li, Jingzhi; Liu, Hongyu; Ma, Shiqi 16 2019 Nearly cloaking the electromagnetic fields. Zbl 1314.35181Bao, Gang; Liu, Hongyu 16 2014 A neural network scheme for recovering scattering obstacles with limited phaseless far-field data. Zbl 1437.68157Yin, Weishi; Yang, Wenhong; Liu, Hongyu 15 2020 On spectral properties of Neuman-Poincaré operator and plasmonic resonances in 3D elastostatics. Zbl 1435.35372Deng, Youjun; Li, Hongjie; Liu, Hongyu 15 2019 Some new additive Runge-Kutta methods and their applications. Zbl 1089.65066Liu, Hongyu; Zou, Jun 15 2006 On anomalous localized resonance for the elastostatic system. Zbl 1350.35025Li, Hongjie; Liu, Hongyu 15 2016 A time domain sampling method for inverse acoustic scattering problems. Zbl 1349.76610Guo, Yukun; Hömberg, Dietmar; Hu, Guanghui; Li, Jingzhi; Liu, Hongyu 15 2016 Mathematical design of a novel input/instruction device using a moving acoustic emitter. Zbl 1422.65240Wang, Xianchao; Guo, Yukun; Li, Jingzhi; Liu, Hongyu 15 2017 Determining a fractional Helmholtz equation with unknown source and scattering potential. Zbl 1433.35015Cao, Xinlin; Liu, Hongyu 14 2019 Locating multiple multiscale electromagnetic scatterers by a single far-field measurement. Zbl 1302.78016Li, Jingzhi; Liu, Hongyu; Wang, Qi 14 2013 On generalized Holmgren’s principle to the Lamé operator with applications to inverse elastic problems. Zbl 1450.35290Diao, Huaian; Liu, Hongyu; Wang, Li 14 2020 On approximate electromagnetic cloaking by transformation media. Zbl 1213.35403Liu, Hongyu; Zhou, Ting 14 2011 On localizing and concentrating electromagnetic fields. Zbl 1408.35180Harrach, Bastian; Lin, Yi-Hsuan; Liu, Hongyu 14 2018 On an inverse boundary problem arising in brain imaging. Zbl 1416.35254Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther 13 2019 On nodal and generalized singular structures of Laplacian eigenfunctions and applications to inverse scattering problems. Zbl 1452.35120Cao, Xinlin; Diao, Huaian; Liu, Hongyu; Zou, Jun 13 2020 On corners scattering stably and stable shape determination by a single far-field pattern. Zbl 1479.35648Blåsten, Emilia; Liu, Hongyu 13 2021 On identifying magnetized anomalies using geomagnetic monitoring. Zbl 1405.78002Deng, Youjun; Li, Jinhong; Liu, Hongyu 13 2019 Stable determination of polygonal inclusions in Calderón’s problem by a single partial boundary measurement. Zbl 1445.35334Liu, Hongyu; Tsou, Chun-Hsiang 12 2020 On three-dimensional plasmon resonances in elastostatics. Zbl 1370.35044Li, Hongjie; Liu, Hongyu 12 2017 On novel elastic structures inducing polariton resonances with finite frequencies and cloaking due to anomalous localized resonances. Zbl 1409.35028Li, Hongjie; Li, Jinhong; Liu, Hongyu 12 2018 Localization and geometrization in plasmon resonances and geometric structures of Neumann-Poincaré eigenfunctions. Zbl 1437.35647Blåsten, Emilia; Li, Hongjie; Liu, Hongyu; Wang, Yuliang 11 2020 Nearly cloaking the elastic wave fields. Zbl 1327.74026Hu, Guanghui; Liu, Hongyu 11 2015 Regularized transformation-optics cloaking for the Helmholtz equation: from partial cloak to full cloak. Zbl 1325.35209Li, Jingzhi; Liu, Hongyu; Rondi, Luca; Uhlmann, Gunther 11 2015 On identifying magnetized anomalies using geomagnetic monitoring within a magnetohydrodynamic model. Zbl 1434.35243Deng, Youjun; Li, Jinhong; Liu, Hongyu 11 2020 Analysis of surface polariton resonance for nanoparticles in elastic system. Zbl 1436.35034Deng, Youjun; Li, Hongjie; Liu, Hongyu 11 2020 On electromagnetic scattering from a penetrable corner. Zbl 1383.78021Liu, Hongyu; Xiao, Jingni 11 2017 Determining a random Schrödinger operator: both potential and source are random. Zbl 07303880Li, Jingzhi; Liu, Hongyu; Ma, Shiqi 10 2021 Determining scattering support of anisotropic acoustic mediums and obstacles. Zbl 1318.35082Liu, Hongyu; Zhao, Hongkai; Zou, Changjian 10 2015 Inverse elastic scattering for multiscale rigid bodies with a single far-field pattern. Zbl 1305.74046Hu, Guanghui; Li, Jingzhi; Liu, Hongyu; Sun, Hongpeng 10 2014 On regularized full- and partial-cloaks in acoustic scattering. Zbl 1375.35518Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther 10 2017 Decoupling elastic waves and its applications. Zbl 1368.74029Liu, Hongyu; Xiao, Jingni 10 2017 Recovery of an embedded obstacle and its surrounding medium from formally determined scattering data. Zbl 06759751Liu, Hongyu; Liu, Xiaodong 10 2017 On near-cloak in acoustic scattering. Zbl 1257.35173Liu, Hongyu 10 2013 Recovery of an embedded obstacle and the surrounding medium for Maxwell’s system. Zbl 1416.35253Deng, Youjun; Liu, Hongyu; Liu, Xiaodong 9 2019 Singular perturbation of reduced wave equation and scattering from an embedded obstacle. Zbl 1257.35174Liu, Hongyu; Shang, Zaijiu; Sun, Hongpeng; Zou, Jun 9 2012 Locating multiple multipolar acoustic sources using the direct sampling method. Zbl 1473.65275Zhang, Deyue; Guo, Yukun; Li, Jingzhi; Liu, Hongyu 9 2019 Recovering complex elastic scatterers by a single far-field pattern. Zbl 1432.35197Hu, Guanghui; Li, Jingzhi; Liu, Hongyu 8 2014 Multi-symplectic Runge-Kutta-type methods for Hamiltonian wave equations. Zbl 1100.65117Liu, Hongyu; Zhang, Kai 8 2006 Regularized transformation-optics cloaking in acoustic and electromagnetic scattering. Zbl 1346.35191Liu, Hongyu; Uhlmann, Gunther 8 2015 Explicit multi-symplectic methods for Hamiltonian wave equations. Zbl 1164.65523Hong, Jialin; Jiang, Shanshan; Li, Chun; Liu, Hongyu 8 2007 Unique determinations in inverse scattering problems with phaseless near-field measurements. Zbl 1441.78017Zhang, Deyue; Guo, Yukun; Sun, Fenglin; Liu, Hongyu 8 2020 Spectral properties of Neumann-Poincaré operator and anomalous localized resonance in elasticity beyond quasi-static limit. Zbl 1440.35347Deng, Youjun; Li, Hongjie; Liu, Hongyu 7 2020 On isotropic cloaking and interior transmission eigenvalue problems. Zbl 1391.35133Ji, Xia; Liu, Hongyu 7 2018 Two gesture-computing approaches by using electromagnetic waves. Zbl 1418.35385Wang, Xianchao; Guo, Yukun; Li, Jingzhi; Liu, Hongyu 7 2019 Enhanced approximate cloaking by SH and FSH lining. Zbl 1250.78025Li, Jingzhi; Liu, Hongyu; Sun, Hongpeng 7 2012 On a gesture-computing technique using electromagnetic waves. Zbl 1395.35218Li, Jingzhi; Liu, Hongyu; Sun, Hongpeng 7 2018 On an electromagnetic problem in a corner and its applications. Zbl 1480.78011Blåsten, Emilia; Liu, Hongyu; Xiao, Jingni 7 2021 Fourier method for identifying electromagnetic sources with multi-frequency far-field data. Zbl 1415.35292Wang, Xianchao; Song, Minghui; Guo, Yukun; Li, Hongjie; Liu, Hongyu 6 2019 On Calderón’s inverse inclusion problem with smooth shapes by a single partial boundary measurement. Zbl 1467.35355Liu, Hongyu; Tsou, Chun-Hsiang; Yang, Wei 6 2021 Mathematical analysis of plasmon resonances for curved nanorods. Zbl 1479.35840Deng, Youjun; Liu, Hongyu; Zheng, Guang-Hui 6 2021 On recovering polyhedral scatterers with acoustic far-field measurements. Zbl 1169.76346Liu, Hongyu 6 2009 Two dimensional invisibility cloaking via transformation optics. Zbl 1226.35016Liu, Hongyu; Zhou, Ting 6 2011 Uniqueness in determining refractive indices by formally determined far-field data. Zbl 1330.35529Hu, Guanghui; Li, Jingzhi; Liu, Hongyu 6 2015 An inverse scattering approach for geometric body generation: a machine learning perspective. Zbl 1435.68271Li, Jinghong; Liu, Hongyu; Tsui, Wing-Yan; Wang, Xianchao 6 2019 New reflection principles for Maxwell’s equations and their applications. Zbl 1187.78037Liu, Hongyu; Yamamoto, Masahiro; Zou, Jun 6 2009 On novel geometric structures of Laplacian eigenfunctions in \(\mathbb{R}^3\) and applications to inverse problems. Zbl 1461.35167Cao, Xinlin; Diao, Huaian; Liu, Hongyu; Zou, Jun 5 2021 Schiffer’s conjecture, interior transmission eigenvalues and invisibility cloaking: singular problem vs. nonsingular problem. Zbl 1287.35047Liu, Hongyu 5 2013 Regular scattering patterns from near-cloaking devices and their implications for invisibility cloaking. Zbl 1273.35112Kocyigit, Ilker; Liu, Hongyu; Sun, Hongpeng 5 2013 On acoustic cloaking devices by transformation media and their simulation. Zbl 1210.35243Hetmaniuk, Ulrich; Liu, Hongyu 5 2010 On a local geometric property of the generalized elastic transmission eigenfunctions and application. Zbl 1479.35286Diao, Huaian; Liu, Hongyu; Sun, Baiyi 5 2021 On local and global structures of transmission eigenfunctions and beyond. Zbl 1486.35320Liu, Hongyu 5 2022 Unique continuation from a generalized impedance edge-corner for Maxwell’s system and applications to inverse problems. Zbl 1456.35192Diao, Huaian; Liu, Hongyu; Zhang, Long; Zou, Jun 4 2021 Electromagnetic interior transmission eigenvalue problem for inhomogeneous media containing obstacles and its applications to near cloaking. Zbl 1486.78003Li, Xiaofei; Li, Jingzhi; Liu, Hongyu; Wang, Yuliang 4 2017 On a novel inverse scattering scheme using resonant modes with enhanced imaging resolution. Zbl 1430.35068Liu, Hongyu; Liu, Xiaodong; Wang, Xianchao; Wang, Yuliang 4 2019 Nearly non-scattering electromagnetic wave set and its application. Zbl 1432.78006Liu, Hongyu; Wang, Yuliang; Zhong, Shuhui 4 2017 Efficient symplectic Runge-Kutta methods. Zbl 1101.65077Chan, R. P. K.; Liu, Hongyu; Sun, Geng 4 2006 Mathematical design of a novel gesture-based instruction/input device using wave detection. Zbl 1432.94016Liu, Hongyu; Wang, Yuliang; Yang, Can 4 2016 On local and global structures of transmission eigenfunctions and beyond. Zbl 1486.35320Liu, Hongyu 5 2022 On geometrical properties of electromagnetic transmission eigenfunctions and artificial mirage. Zbl 1482.35149Deng, Youjun; Liu, Hongyu; Wang, Xianchao; Wu, Wei 3 2022 Minnaert resonances for bubbles in soft elastic materials. Zbl 1483.35254Li, Hongjie; Liu, Hongyu; Zou, Jun 3 2022 Numerical methods for semilinear fractional diffusion equations with time delay. Zbl 1499.65446Yang, Shuiping; Liu, Yubin; Liu, Hongyu; Wang, Chao 3 2022 Plasmon resonances of nanorods in transverse electromagnetic scattering. Zbl 1495.35162Deng, Youjun; Liu, Hongyu; Zheng, Guang-Hui 3 2022 Further results on generalized Holmgren’s principle to the Lamé operator and applications. Zbl 1483.35250Diao, Huaian; Liu, Hongyu; Wang, Li 3 2022 On vanishing near corners of conductive transmission eigenfunctions. Zbl 1481.35301Deng, Youjun; Duan, Chaohua; Liu, Hongyu 3 2022 On an artificial neural network for inverse scattering problems. Zbl 07516839Gao, Yu; Liu, Hongyu; Wang, Xianchao; Zhang, Kai 3 2022 Localized sensitivity analysis at high-curvature boundary points of reconstructing inclusions in transmission problems. Zbl 1485.35419Ammari, Habib; Chow, Yat Tin; Liu, Hongyu 2 2022 Shape reconstructions by using plasmon resonances. Zbl 1486.65230Ding, Ming-Hui; Liu, Hongyu; Zheng, Guang-Hui 2 2022 On new surface-localized transmission eigenmodes. Zbl 1487.35266Deng, Youjun; Jiang, Yan; Liu, Hongyu; Zhang, Kai 2 2022 The interior inverse scattering problem for a two-layered cavity using the Bayesian method. Zbl 1494.78012Yin, Yunwen; Yin, Weishi; Meng, Pinchao; Liu, Hongyu 2 2022 Simultaneous recoveries for semilinear parabolic systems. Zbl 1498.35620Lin, Yi-Hsuan; Liu, Hongyu; Liu, Xu; Zhang, Shen 2 2022 On a hybrid approach for recovering multiple obstacles. Zbl 1482.62044Yin, Yunwen; Yin, Weishi; Meng, Pinchao; Liu, Hongyu 1 2022 Stable determination by a single measurement, scattering bound and regularity of transmission eigenfunctions. Zbl 1492.35428Liu, Hongyu; Tsou, Chun-Hsiang 1 2022 Effective medium theory for embedded obstacles in elasticity with applications to inverse problems. Zbl 1495.35024Meng, Qingle; Bai, Zhengjian; Diao, Huaian; Liu, Hongyu 1 2022 Scattering by curvatures, radiationless sources, transmission eigenfunctions, and inverse scattering problems. Zbl 1479.35838Blåsten, Emilia L. K.; Liu, Hongyu 20 2021 On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications. Zbl 1475.35328Diao, Huaian; Cao, Xinlin; Liu, Hongyu 18 2021 Surface-localized transmission eigenstates, super-resolution imaging, and pseudo surface plasmon modes. Zbl 1478.35159Chow, Yat Tin; Deng, Youjun; He, Youzi; Liu, Hongyu; Wang, Xianchao 17 2021 On corners scattering stably and stable shape determination by a single far-field pattern. Zbl 1479.35648Blåsten, Emilia; Liu, Hongyu 13 2021 Determining a random Schrödinger operator: both potential and source are random. Zbl 07303880Li, Jingzhi; Liu, Hongyu; Ma, Shiqi 10 2021 On an electromagnetic problem in a corner and its applications. Zbl 1480.78011Blåsten, Emilia; Liu, Hongyu; Xiao, Jingni 7 2021 On Calderón’s inverse inclusion problem with smooth shapes by a single partial boundary measurement. Zbl 1467.35355Liu, Hongyu; Tsou, Chun-Hsiang; Yang, Wei 6 2021 Mathematical analysis of plasmon resonances for curved nanorods. Zbl 1479.35840Deng, Youjun; Liu, Hongyu; Zheng, Guang-Hui 6 2021 On novel geometric structures of Laplacian eigenfunctions in \(\mathbb{R}^3\) and applications to inverse problems. Zbl 1461.35167Cao, Xinlin; Diao, Huaian; Liu, Hongyu; Zou, Jun 5 2021 On a local geometric property of the generalized elastic transmission eigenfunctions and application. Zbl 1479.35286Diao, Huaian; Liu, Hongyu; Sun, Baiyi 5 2021 Unique continuation from a generalized impedance edge-corner for Maxwell’s system and applications to inverse problems. Zbl 1456.35192Diao, Huaian; Liu, Hongyu; Zhang, Long; Zou, Jun 4 2021 Sharp estimate of electric field from a conductive rod and application. Zbl 1466.78011Fang, Xiaoping; Deng, Youjun; Liu, Hongyu 3 2021 Simultaneous recovery of surface heat flux and thickness of a solid structure by ultrasonic measurements. Zbl 1478.35236Deng, Youjun; Liu, Hongyu; Wang, Xianchao; Wei, Dong; Zhu, Liyan 3 2021 On vanishing and localizing around corners of electromagnetic transmission resonances. Zbl 1477.78003Diao, Huaian; Liu, Hongyu; Wang, Xianchao; Yang, Ke 3 2021 Three-dimensional elastic scattering coefficients and enhancement of the elastic near cloaking. Zbl 1466.35273Liu, Hongyu; Tsui, Wing Yan; Wahab, Abdul; Wang, Xianchao 2 2021 Design and finite element simulation of information-open cloaking devices. Zbl 07510058Wang, Hao; Yang, Wei; He, Bin; Liu, Hongyu 1 2021 Recovering piecewise constant refractive indices by a single far-field pattern. Zbl 1446.35262Blåsten, Emilia; Liu, Hongyu 21 2020 A neural network scheme for recovering scattering obstacles with limited phaseless far-field data. Zbl 1437.68157Yin, Weishi; Yang, Wenhong; Liu, Hongyu 15 2020 On generalized Holmgren’s principle to the Lamé operator with applications to inverse elastic problems. Zbl 1450.35290Diao, Huaian; Liu, Hongyu; Wang, Li 14 2020 On nodal and generalized singular structures of Laplacian eigenfunctions and applications to inverse scattering problems. Zbl 1452.35120Cao, Xinlin; Diao, Huaian; Liu, Hongyu; Zou, Jun 13 2020 Stable determination of polygonal inclusions in Calderón’s problem by a single partial boundary measurement. Zbl 1445.35334Liu, Hongyu; Tsou, Chun-Hsiang 12 2020 Localization and geometrization in plasmon resonances and geometric structures of Neumann-Poincaré eigenfunctions. Zbl 1437.35647Blåsten, Emilia; Li, Hongjie; Liu, Hongyu; Wang, Yuliang 11 2020 On identifying magnetized anomalies using geomagnetic monitoring within a magnetohydrodynamic model. Zbl 1434.35243Deng, Youjun; Li, Jinhong; Liu, Hongyu 11 2020 Analysis of surface polariton resonance for nanoparticles in elastic system. Zbl 1436.35034Deng, Youjun; Li, Hongjie; Liu, Hongyu 11 2020 Unique determinations in inverse scattering problems with phaseless near-field measurements. Zbl 1441.78017Zhang, Deyue; Guo, Yukun; Sun, Fenglin; Liu, Hongyu 8 2020 Spectral properties of Neumann-Poincaré operator and anomalous localized resonance in elasticity beyond quasi-static limit. Zbl 1440.35347Deng, Youjun; Li, Hongjie; Liu, Hongyu 7 2020 Identifying varying magnetic anomalies using geomagnetic monitoring. Zbl 1448.35494Deng, Youjun; Liu, Hongyu; Tsui, Wing-Yan 2 2020 Generation of optical-photon-and-magnon entanglement in an optomagnonics-mechanical system. Zbl 1508.81231Yang, Zhi-Bo; Yang, Rong-Can; Liu, Hong-Yu 2 2020 Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators. Zbl 1407.35225Cao, Xinlin; Lin, Yi-Hsuan; Liu, Hongyu 29 2019 Mosco convergence for \(H(\text{curl})\) spaces, higher integrability for Maxwell’s equations, and stability in direct and inverse EM scattering problems. Zbl 1502.78020Liu, Hongyu; Rondi, Luca; Xiao, Jingni 27 2019 Determining a random Schrödinger equation with unknown source and potential. Zbl 1419.35185Li, Jingzhi; Liu, Hongyu; Ma, Shiqi 16 2019 On spectral properties of Neuman-Poincaré operator and plasmonic resonances in 3D elastostatics. Zbl 1435.35372Deng, Youjun; Li, Hongjie; Liu, Hongyu 15 2019 Determining a fractional Helmholtz equation with unknown source and scattering potential. Zbl 1433.35015Cao, Xinlin; Liu, Hongyu 14 2019 On an inverse boundary problem arising in brain imaging. Zbl 1416.35254Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther 13 2019 On identifying magnetized anomalies using geomagnetic monitoring. Zbl 1405.78002Deng, Youjun; Li, Jinhong; Liu, Hongyu 13 2019 Recovery of an embedded obstacle and the surrounding medium for Maxwell’s system. Zbl 1416.35253Deng, Youjun; Liu, Hongyu; Liu, Xiaodong 9 2019 Locating multiple multipolar acoustic sources using the direct sampling method. Zbl 1473.65275Zhang, Deyue; Guo, Yukun; Li, Jingzhi; Liu, Hongyu 9 2019 Two gesture-computing approaches by using electromagnetic waves. Zbl 1418.35385Wang, Xianchao; Guo, Yukun; Li, Jingzhi; Liu, Hongyu 7 2019 Fourier method for identifying electromagnetic sources with multi-frequency far-field data. Zbl 1415.35292Wang, Xianchao; Song, Minghui; Guo, Yukun; Li, Hongjie; Liu, Hongyu 6 2019 An inverse scattering approach for geometric body generation: a machine learning perspective. Zbl 1435.68271Li, Jinghong; Liu, Hongyu; Tsui, Wing-Yan; Wang, Xianchao 6 2019 On a novel inverse scattering scheme using resonant modes with enhanced imaging resolution. Zbl 1430.35068Liu, Hongyu; Liu, Xiaodong; Wang, Xianchao; Wang, Yuliang 4 2019 The decoupling of elastic waves from a weak formulation perspective. Zbl 1465.35196Lai, Junjiang; Liu, Hongyu; Xiao, Jingni; Xu, Yifeng 2 2019 On an inverse elastic wave imaging scheme for nearly incompressible materials. Zbl 1471.74038Li, Jingzhi; Liu, Hongyu; Sun, Hongpeng 1 2019 Retrieval of acoustic sources from multi-frequency phaseless data. Zbl 1442.65336Zhang, Deyue; Guo, Yukun; Li, Jingzhi; Liu, Hongyu 26 2018 On anomalous localized resonance and plasmonic cloaking beyond the quasi-static limit. Zbl 1407.35228Li, Hongjie; Liu, Hongyu 19 2018 On localizing and concentrating electromagnetic fields. Zbl 1408.35180Harrach, Bastian; Lin, Yi-Hsuan; Liu, Hongyu 14 2018 On novel elastic structures inducing polariton resonances with finite frequencies and cloaking due to anomalous localized resonances. Zbl 1409.35028Li, Hongjie; Li, Jinhong; Liu, Hongyu 12 2018 On isotropic cloaking and interior transmission eigenvalue problems. Zbl 1391.35133Ji, Xia; Liu, Hongyu 7 2018 On a gesture-computing technique using electromagnetic waves. Zbl 1395.35218Li, Jingzhi; Liu, Hongyu; Sun, Hongpeng 7 2018 Fourier method for recovering acoustic sources from multi-frequency far-field data. Zbl 1401.35352Wang, Xianchao; Guo, Yukun; Zhang, Deyue; Liu, Hongyu 29 2017 On vanishing near corners of transmission eigenfunctions. Zbl 1387.35437Blåsten, Eemeli; Liu, Hongyu 27 2017 Stable determination of sound-hard polyhedral scatterers by a minimal number of scattering measurements. Zbl 1352.74148Liu, Hongyu; Petrini, Michele; Rondi, Luca; Xiao, Jingni 25 2017 Recovering an electromagnetic obstacle by a few phaseless backscattering measurements. Zbl 1432.78008Li, Jingzhi; Liu, Hongyu; Wang, Yuliang 24 2017 On vanishing and localizing of transmission eigenfunctions near singular points: a numerical study. Zbl 1442.65332Blåsten, Eemeli; Li, Xiaofei; Liu, Hongyu; Wang, Yuliang 24 2017 Full and partial cloaking in electromagnetic scattering. Zbl 1359.35185Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther 18 2017 Mathematical design of a novel input/instruction device using a moving acoustic emitter. Zbl 1422.65240Wang, Xianchao; Guo, Yukun; Li, Jingzhi; Liu, Hongyu 15 2017 On three-dimensional plasmon resonances in elastostatics. Zbl 1370.35044Li, Hongjie; Liu, Hongyu 12 2017 On electromagnetic scattering from a penetrable corner. Zbl 1383.78021Liu, Hongyu; Xiao, Jingni 11 2017 On regularized full- and partial-cloaks in acoustic scattering. Zbl 1375.35518Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther 10 2017 Decoupling elastic waves and its applications. Zbl 1368.74029Liu, Hongyu; Xiao, Jingni 10 2017 Recovery of an embedded obstacle and its surrounding medium from formally determined scattering data. Zbl 06759751Liu, Hongyu; Liu, Xiaodong 10 2017 Electromagnetic interior transmission eigenvalue problem for inhomogeneous media containing obstacles and its applications to near cloaking. Zbl 1486.78003Li, Xiaofei; Li, Jingzhi; Liu, Hongyu; Wang, Yuliang 4 2017 Nearly non-scattering electromagnetic wave set and its application. Zbl 1432.78006Liu, Hongyu; Wang, Yuliang; Zhong, Shuhui 4 2017 Plasmon resonance with finite frequencies: a validation of the quasi-static approximation for diametrically small inclusions. Zbl 1351.35205Ando, Kazunori; Kang, Hyeonbae; Liu, Hongyu 40 2016 On anomalous localized resonance for the elastostatic system. Zbl 1350.35025Li, Hongjie; Liu, Hongyu 15 2016 A time domain sampling method for inverse acoustic scattering problems. Zbl 1349.76610Guo, Yukun; Hömberg, Dietmar; Hu, Guanghui; Li, Jingzhi; Liu, Hongyu 15 2016 Mathematical design of a novel gesture-based instruction/input device using wave detection. Zbl 1432.94016Liu, Hongyu; Wang, Yuliang; Yang, Can 4 2016 Generation of singlet states with Rydberg blockade mechanism and driven by adiabatic passage. Zbl 1333.81090Yang, Rong-Can; Lin, Xiu; Ye, Li-Xiang; Chen, Xiang; He, Juan; Liu, Hong-Yu 3 2016 A short remark on Chien’s variational principle of maximum power losses for viscous fluids. Zbl 1356.76058Liu, H. Y.; Si, Na; He, Ji-Huan 2 2016 Generation of GHZ states with invariant-based shortcuts. Zbl 1348.81121Ye, Li-Xiang; Lin, Xiu; Chen, Xiang; He, Juan; Yang, Rong-Can; Liu, Hong-Yu 2 2016 Finite element method for valuation of American lookback options. Zbl 1389.91131Song, Haiming; Zhang, Qi; Li, Jingzhi; Liu, Hongyu 1 2016 A numerical study of complex reconstruction in inverse elastic scattering. Zbl 1373.74055Hu, Guanghui; Li, Jingzhi; Liu, Hongyu; Wang, Qi 1 2016 Determining both sound speed and internal source in thermo- and photo-acoustic tomography. Zbl 1328.35316Liu, Hongyu; Uhlmann, Gunther 32 2015 Recovering a polyhedral obstacle by a few backscattering measurements. Zbl 1330.78013Li, Jingzhi; Liu, Hongyu 24 2015 Recovering multiscale buried anomalies in a two-layered medium. Zbl 1330.78012Li, Jingzhi; Li, Peijun; Liu, Hongyu; Liu, Xiaodong 23 2015 On quasi-static cloaking due to anomalous localized resonance in \(\mathbb{R}^3\). Zbl 1322.35176Li, Hongjie; Li, Jingzhi; Liu, Hongyu 22 2015 Nearly cloaking the elastic wave fields. Zbl 1327.74026Hu, Guanghui; Liu, Hongyu 11 2015 Regularized transformation-optics cloaking for the Helmholtz equation: from partial cloak to full cloak. Zbl 1325.35209Li, Jingzhi; Liu, Hongyu; Rondi, Luca; Uhlmann, Gunther 11 2015 Determining scattering support of anisotropic acoustic mediums and obstacles. Zbl 1318.35082Liu, Hongyu; Zhao, Hongkai; Zou, Changjian 10 2015 Regularized transformation-optics cloaking in acoustic and electromagnetic scattering. Zbl 1346.35191Liu, Hongyu; Uhlmann, Gunther 8 2015 Uniqueness in determining refractive indices by formally determined far-field data. Zbl 1330.35529Hu, Guanghui; Li, Jingzhi; Liu, Hongyu 6 2015 Fast imaging of electromagnetic scatterers by a two-stage multilevel sampling method. Zbl 1306.78007Li, Jingzhi; Liu, Hongyu; Wang, Qi 2 2015 Generation of three-qutrit singlet states with trapped ions via adiabatic passage. Zbl 1333.81053Yang, Rong-Can; Ye, Li-Xiang; Lin, Xiu; Chen, Xiang; Liu, Hong-Yu 1 2015 Locating multiple multiscale acoustic scatterers. Zbl 1328.35135Li, Jingzhi; Liu, Hongyu; Zou, Jun 38 2014 ...and 45 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 579 Authors 82 Liu, Hongyu 24 Li, Jingzhi 22 Ammari, Habib M. 21 Deng, Youjun 20 Hu, Guanghui 19 Guo, Yukun 18 Zhang, Bo 17 Klibanov, Michael V. 17 Liu, Xiaodong 15 Zou, Jun 14 Wang, Xianchao 13 Lin, Yi-Hsuan 12 Li, Hongjie 11 Diao, Huaian 11 Harrach, Bastian 11 Li, Peijun 11 Nguyen, Loc Hoang 11 Salo, Mikko 11 Zhang, Deyue 11 Zhang, Haiwen 10 Lassas, Matti J. 10 Yang, Wei 9 Hong, Jialin 9 Huang, Yunqing 9 Li, Jichun 9 Xiao, Jingni 9 Zhang, Hai 8 Ji, Xia 8 Kang, Hyeonbae 8 Nguyen, Hoai-Minh 7 Lee, Hyundae 7 Ma, Fuming 7 Nguyen, Dinh Liem 7 Uhlmann, Gunther Alberto 7 Yu, SangHyeon 6 Blåsten, Emilia L. K. 6 Sini, Mourad 6 Sun, Jiguang 6 Wang, Haibing 6 Wang, Xu 6 Yin, Weishi 5 Bao, Gang 5 Cai, Wenjun 5 Cao, Xinlin 5 Chen, Bo 5 Kolesov, Aleksandr Egorovich 5 Liu, Jun 5 Meng, Pinchao 5 Rondi, Luca 5 Ruiz, Matias 5 Sun, Yajuan 5 Vogelius, Michael S. 5 Wang, Jenn-Nan 5 Wang, Qi 5 Wang, Yuliang 5 Wang, Yushun 5 Zheng, Guanghui 4 Cakoni, Fioralba 4 Chow, Yat Tin 4 Ding, Xiaohua 4 Dong, Heping 4 Fang, Xiaoping 4 Ghosh, Tuhin 4 Kleefeld, Andreas 4 Leem, Koung Hee 4 Li, Jianliang 4 Lim, Mikyoung 4 Ma, Shiqi 4 Pelekanos, George 4 Schütz, Jochen 4 Tsui, Wing-Yan 4 Xu, Xiaoxu 4 Yang, Jiaqing 4 Zhang, Kai 3 Alekseev, Gennady V. 3 Ando, Kazunori 3 Blåsten, Eemeli 3 Challa, Durga Prasad 3 Chen, Lung-Hui 3 Elschner, Johannes 3 Fitzpatrick, Brian 3 Kaiser, Klaus Hermann 3 Kow, Pu-Zhao 3 Kress, Rainer 3 Lai, Ru-Yu 3 Li, Chun 3 Li, Jinhong 3 Liimatainen, Tony 3 Liu, Jijun 3 Meftahi, Houcine 3 Nakamura, Gen 3 Pieronek, Lukas 3 Pohjola, Valter 3 Romanov, Vladimir Gavrilovich 3 Rüland, Angkana 3 Sun, Hongpeng 3 Triki, Faouzi 3 Vashisth, Manmohan 3 Wahab, Abdul Fatah 3 Wang, Hao ...and 479 more Authors all top 5 Cited in 111 Serials 44 Inverse Problems 39 Journal of Computational Physics 31 Inverse Problems and Imaging 26 SIAM Journal on Applied Mathematics 22 SIAM Journal on Mathematical Analysis 20 Journal of Differential Equations 17 Electronic Research Archive 11 Journal of Mathematical Analysis and Applications 11 Inverse Problems in Science and Engineering 10 Applied Numerical Mathematics 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 SIAM Journal on Imaging Sciences 8 Applicable Analysis 8 Archive for Rational Mechanics and Analysis 8 Journal of Computational and Applied Mathematics 8 Multiscale Modeling & Simulation 7 Applied Mathematics and Computation 7 Journal of Inverse and Ill-Posed Problems 6 Journal of Scientific Computing 6 Calculus of Variations and Partial Differential Equations 6 Communications in Computational Physics 5 Computers & Mathematics with Applications 5 Journal of Mathematical Physics 5 Journal of Functional Analysis 5 Numerische Mathematik 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Advances in Applied Mathematics and Mechanics 4 Communications in Mathematical Physics 4 Transactions of the American Mathematical Society 4 Acta Mathematicae Applicatae Sinica. 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Mathematics 2 Journal of Spectral Theory 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Mathematics in Engineering 1 Computer Physics Communications 1 Geophysical and Astrophysical Fluid Dynamics 1 Journal of Engineering Mathematics 1 Letters in Mathematical Physics 1 Reports on Mathematical Physics 1 Journal of Geometry and Physics 1 Acta Mathematica Vietnamica 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Optimization 1 Indiana University Mathematics Journal 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 Bulletin of the Iranian Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Applied Mathematics Letters 1 Journal of Integral Equations and Applications 1 Sugaku Expositions 1 Numerical Algorithms 1 SIAM Review 1 Celestial Mechanics and Dynamical Astronomy 1 Journal of Dynamics and Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 SIAM Journal on Scientific Computing 1 St. Petersburg Mathematical Journal 1 Integral Transforms and Special Functions 1 Journal of Difference Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 European Journal of Mechanics. A. Solids 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Dynamical and Control Systems 1 Optimization and Engineering 1 Journal of Modern Optics 1 Differential Equations 1 Computational Methods in Applied Mathematics 1 Analysis and Applications (Singapore) 1 International Journal of Computational Methods 1 International Journal of Numerical Analysis and Modeling 1 Sibirskie Èlektronnye Matematicheskie Izvestiya ...and 11 more Serials all top 5 Cited in 39 Fields 380 Partial differential equations (35-XX) 184 Numerical analysis (65-XX) 184 Optics, electromagnetic theory (78-XX) 62 Mechanics of deformable solids (74-XX) 49 Fluid mechanics (76-XX) 19 Dynamical systems and ergodic theory (37-XX) 19 Operator theory (47-XX) 18 Potential theory (31-XX) 18 Integral equations (45-XX) 16 Global analysis, analysis on manifolds (58-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 14 Probability theory and stochastic processes (60-XX) 13 Ordinary differential equations (34-XX) 13 Quantum theory (81-XX) 13 Biology and other natural sciences (92-XX) 9 Statistical mechanics, structure of matter (82-XX) 9 Information and communication theory, circuits (94-XX) 7 Functional analysis (46-XX) 7 Statistics (62-XX) 7 Computer science (68-XX) 6 Real functions (26-XX) 6 Special functions (33-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Geophysics (86-XX) 6 Systems theory; control (93-XX) 5 Integral transforms, operational calculus (44-XX) 5 Differential geometry (53-XX) 5 Mechanics of particles and systems (70-XX) 3 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 General topology (54-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year